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Found problems: 1

2007 Singapore Junior Math Olympiad, 2
Tags: geometry , Equilateral Triangles , Equilateral , parallelogram
Equilateral triangles $ABE$ and $BCF$ are erected externally onthe sidess $AB$ and $BC$ of a parallelogram $ABCD$. Prove that $\vartriangle DEF$ is equilateral.